2102002210101 has 32 divisors (see below), whose sum is σ = 2856086341632. Its totient is φ = 1374833517120.

The previous prime is 2102002210057. The next prime is 2102002210123. The reversal of 2102002210101 is 1010122002012.

It is not a de Polignac number, because 2102002210101 - 2¹⁴ = 2102002193717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102002210141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44763831 + ... + 44810763.

It is an arithmetic number, because the mean of its divisors is an integer number (89252698176).

Almost surely, 2^{2102002210101} is an apocalyptic number.

It is an amenable number.

2102002210101 is a deficient number, since it is larger than the sum of its proper divisors (754084131531).

2102002210101 is a wasteful number, since it uses less digits than its factorization.

2102002210101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48033.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2102002210101 its reverse (1010122002012), we get a palindrome (3112124212113).

The spelling of 2102002210101 in words is "two trillion, one hundred two billion, two million, two hundred ten thousand, one hundred one".